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Finding the Third Proportional to 434,319.75 and 626,558.63

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Solution

The third proportional to 434,319.75 and 626,558.63 is: 903,886.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,319.75 : 626,558.63 = 626,558.63 : x
  2. Step 2: Convert to fraction form
    434,319.75/626,558.63 = 626,558.63/x
  3. Step 3: Cross multiply
    434,319.75x = 626,558.63 × 626,558.63
  4. Step 4: Simplify right side
    434,319.75x = 392,575,710,561.89
  5. Step 5: Solve for x
    x = 392,575,710,561.89/434,319.75
  6. Step 6: Final answer
    x = 903,886.39

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.